2 citations · 2 across the 8 of their papers we have counts for
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Gap statistics and higher correlations for geometric progressions modulo one
Christoph Aistleitner, Simon Baker, Niclas Technau +1
Koksma's equidistribution theorem from 1935 states that for Lebesgue almost every , the fractional parts of the geometric progression are equidistributed mo…
Differences between Robin and Neumann eigenvalues
Zeev Rudnick, Igor Wigman, Nadav Yesha
Let be a bounded planar domain, with piecewise smooth boundary . For , we consider the Robin boundary value problem \[ -Δf =λf, \qquad \frac…
On the correlations of mod 1
Niclas Technau, Nadav Yesha
A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts of the sequence $(n^α)_{n\ge1…
The defect of toral Laplace eigenfunctions and Arithmetic Random Waves
Par Kurlberg, Igor Wigman, Nadav Yesha
We study the defect (or "signed area") distribution of toral Laplace eigenfunctions restricted to shrinking balls of radius above the Planck scale, in either random Gaussian scenar…